博客园_冷門之道軟件設計思想之鑽研http://feed.cnblogs.com/blog/u/40337/rss2010-09-13T10:03:00ZEthanYethttp://www.cnblogs.com/ethanyen/CNBlogs BlogServerhttp://www.cnblogs.com/ethanyen/archive/2010/09/13/1825196.html關於幻方的全部解法與證明及程序設計幻方，從漢朝就開始流傳了，一開始稱為九宮圖或縱橫圖。宋朝楊輝在《續古摘奇算法》 中提出了一些解幻方的口訣，但只適用於部份的幻方。同時一個5*5的幻方，也不是只有一種解法。但根據楊輝的解法，再加以左右上下的鏡射，也只能得出有限解。那麼一個「N*N」的幻方應該有幾種解法？怎麼算？如何證明？程式怎麼寫？一個月後公佈答案。有興趣者，不妨先嘗試一下！2010-09-13T10:03:00Z2010-09-13T10:03:00ZEthanYethttp://www.cnblogs.com/ethanyen/<p>幻方，從漢朝就開始流傳了，一開始稱為九宮圖或縱橫圖。</p><p>宋朝楊輝在《續古摘奇算法》 中提出了一些解幻方的口訣，但只適用於部份的幻方。同時一個5*5的幻方，也不是只有一種解法。但根據楊輝的解法，再加以左右上下的鏡射，也只能得出有限解。</p><p>那麼一個「N*N」的幻方應該有幾種解法？怎麼算？如何證明？程式怎麼寫？</p><p></p><p>一個月後公佈答案。有興趣者，不妨先嘗試一下！ </p><img src="http://www.cnblogs.com/ethanyen/aggbug/1825196.html?type=1" width="1" height="1" alt=""/><p><a href="http://www.cnblogs.com/ethanyen/archive/2010/09/13/1825196.html" target="_blank">本文链接</a></p>http://www.cnblogs.com/ethanyen/archive/2010/09/12/1824399.htmlN阶方阵排列解法代码Code highlighting produced by Actipro CodeHighlighter (freeware)http://www.CodeHighlighter.com/-->#include<iostream>#include<stdio.h>constintARR_LEN=10;constintDirection_start[4][2]={{0,...2010-09-12T06:49:00Z2010-09-12T06:49:00ZEthanYethttp://www.cnblogs.com/ethanyen/<p></p><div style="background-color: #F5F5F5;border: 1px solid #CCCCCC;padding-left:5px;padding-right:5px;" onclick="cnblogs_code_show('033982e8-6415-40fc-a831-796c66cd61bd')"><div style="background-color: #F5F5F5;border: 1px solid #CCCCCC;padding-left:5px;padding-right:5px;" onclick="cnblogs_code_show('ee7d2878-11f4-4169-b8f8-7aca9e3fbac7')"><img src="http://images.cnblogs.com/OutliningIndicators/ExpandedBlockStart.gif" id="code_img_opened_ee7d2878-11f4-4169-b8f8-7aca9e3fbac7" onclick="cnblogs_code_hide('ee7d2878-11f4-4169-b8f8-7aca9e3fbac7',event)" style="display:none"><div id="cnblogs_code_open_ee7d2878-11f4-4169-b8f8-7aca9e3fbac7" ><div><!--<br/ /><br/ />Code highlighting produced by Actipro CodeHighlighter (freeware)<br/ />http://www.CodeHighlighter.com/<br/ /><br/ />--><span style="color: #000000;">#include </span><span style="color: #000000;"><</span><span style="color: #000000;">iostream</span><span style="color: #000000;">></span><span style="color: #000000;"><br />#include </span><span style="color: #000000;"><</span><span style="color: #000000;">stdio.h</span><span style="color: #000000;">></span><span style="color: #000000;"><br /><br /></span><span style="color: #0000FF;">const</span><span style="color: #000000;"> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> ARR_LEN </span><span style="color: #000000;">=</span><span style="color: #000000;"> </span><span style="color: #800080;">10</span><span style="color: #000000;">;<br /></span><span style="color: #0000FF;">const</span><span style="color: #000000;"> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> Direction_start[</span><span style="color: #800080;">4</span><span style="color: #000000;">][</span><span style="color: #800080;">2</span><span style="color: #000000;">] </span><span style="color: #000000;">=</span><span style="color: #000000;">{{</span><span style="color: #800080;">0</span><span style="color: #000000;">,</span><span style="color: #800080;">1</span><span style="color: #000000;">},{</span><span style="color: #800080;">1</span><span style="color: #000000;">,</span><span style="color: #000000;">-</span><span style="color: #800080;">1</span><span style="color: #000000;">},{</span><span style="color: #800080;">1</span><span style="color: #000000;">,</span><span style="color: #800080;">0</span><span style="color: #000000;">},{</span><span style="color: #000000;">-</span><span style="color: #800080;">1</span><span style="color: #000000;">,</span><span style="color: #800080;">1</span><span style="color: #000000;">}}; </span><span style="color: #008000;">//</span><span style="color: #008000;">↓↗→↙，從前數到尾</span><span style="color: #008000;"><br /></span><span style="color: #0000FF;">static</span><span style="color: #000000;"> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> count</span><span style="color: #000000;">=</span><span style="color: #000000;">ARR_LEN</span><span style="color: #000000;">*</span><span style="color: #000000;">ARR_LEN;<br /></span><span style="color: #0000FF;">static</span><span style="color: #000000;"> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> </span><span style="color: #000000;">*</span><span style="color: #000000;">ARR</span><span style="color: #000000;">=</span><span style="color: #0000FF;">new</span><span style="color: #000000;"> </span><span style="color: #0000FF;">int</span><span style="color: #000000;">[count];<br /><br /></span><span style="color: #0000FF;">int</span><span style="color: #000000;"> main(</span><span style="color: #0000FF;">void</span><span style="color: #000000;">) {<br /><br /> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> hcount</span><span style="color: #000000;">=</span><span style="color: #000000;">count</span><span style="color: #000000;">>></span><span style="color: #800080;">1</span><span style="color: #000000;">;</span><span style="color: #008000;">//</span><span style="color: #008000;">只進行一半的迴圈即可完成整個陣列</span><span style="color: #008000;"><br /></span><span style="color: #000000;"> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> ARR_count</span><span style="color: #000000;">=-</span><span style="color: #800080;">1</span><span style="color: #000000;">;<br /><br /> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> XYEnd</span><span style="color: #000000;">=</span><span style="color: #000000;">ARR_LEN</span><span style="color: #000000;">-</span><span style="color: #800080;">1</span><span style="color: #000000;">;<br /> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> X</span><span style="color: #000000;">=</span><span style="color: #800080;">0</span><span style="color: #000000;">;<br /> </span><span style="color: #0000FF;">int</span><span style="color: #000000;"> Y</span><span style="color: #000000;">=</span><span style="color: #800080;">0</span><span style="color: #000000;">;<br /><br /> </span><span style="color: #0000FF;">for</span><span style="color: #000000;">(</span><span style="color: #0000FF;">int</span><span style="color: #000000;"> i</span><span style="color: #000000;">=</span><span style="color: #800080;">1</span><span style="color: #000000;">;i</span><span style="color: #000000;"><</span><span style="color: #000000;">hcount</span><span style="color: #000000;">+</span><span style="color: #800080;">2</span><span style="color: #000000;">;i</span><span style="color: #000000;">++</span><span style="color: #000000;">)<br /> {<br /> </span><span style="color: #000000;">*</span><span style="color: #000000;">(ARR</span><span style="color: #000000;">+</span><span style="color: #000000;">X</span><span style="color: #000000;">*</span><span style="color: #000000;">ARR_LEN</span><span style="color: #000000;">+</span><span style="color: #000000;">Y)</span><span style="color: #000000;">=</span><span style="color: #000000;">i;<br /> </span><span style="color: #000000;">*</span><span style="color: #000000;">(ARR</span><span style="color: #000000;">+</span><span style="color: #000000;">(XYEnd</span><span style="color: #000000;">-</span><span style="color: #000000;">X)</span><span style="color: #000000;">*</span><span style="color: #000000;">ARR_LEN</span><span style="color: #000000;">+</span><span style="color: #000000;">(XYEnd</span><span style="color: #000000;">-</span><span style="color: #000000;">Y))</span><span style="color: #000000;">=</span><span style="color: #000000;">count;<br /> count</span><span style="color: #000000;">--</span><span style="color: #000000;">;</span><span style="color: #008000;">//</span><span style="color: #008000;">以上兩行可以改為*(ARR+(count-Aposition))=Tcount--;</span><span style="color: #008000;">//</span><span style="color: #008000;">int Tcount=count</span><span style="color: #008000;"><br /></span><span style="color: #000000;"> </span><span style="color: #0000FF;">if</span><span style="color: #000000;">(X</span><span style="color: #000000;">==</span><span style="color: #800080;">0</span><span style="color: #000000;"> </span><span style="color: #000000;">||</span><span style="color: #000000;"> Y</span><span style="color: #000000;">==</span><span style="color: #800080;">0</span><span style="color: #000000;"> </span><span style="color: #000000;">||</span><span style="color: #000000;"> X</span><span style="color: #000000;">==</span><span style="color: #000000;">XYEnd </span><span style="color: #000000;">||</span><span style="color: #000000;"> Y</span><span style="color: #000000;">==</span><span style="color: #000000;">XYEnd)<br /> {<br /> ARR_count</span><span style="color: #000000;">++</span><span style="color: #000000;">;<br /> </span><span style="color: #0000FF;">if</span><span style="color: #000000;">(ARR_count</span><span style="color: #000000;">==</span><span style="color: #800080;">4</span><span style="color: #000000;">){ARR_count</span><span style="color: #000000;">=</span><span style="color: #800080;">0</span><span style="color: #000000;">;}<br /> }<br /> X</span><span style="color: #000000;">+=</span><span style="color: #000000;">Direction_start[ARR_count][</span><span style="color: #800080;">0</span><span style="color: #000000;">];<br /> Y</span><span style="color: #000000;">+=</span><span style="color: #000000;">Direction_start[ARR_count][</span><span style="color: #800080;">1</span><span style="color: #000000;">]; <br /> }<br /><br /> </span><span style="color: #0000FF;">for</span><span style="color: #000000;"> (Y </span><span style="color: #000000;">=</span><span style="color: #000000;"> </span><span style="color: #800080;">0</span><span style="color: #000000;">; Y </span><span style="color: #000000;"><</span><span style="color: #000000;"> ARR_LEN; Y </span><span style="color: #000000;">++</span><span style="color: #000000;">) {<br /> </span><span style="color: #0000FF;">for</span><span style="color: #000000;"> (X </span><span style="color: #000000;">=</span><span style="color: #000000;"> </span><span style="color: #800080;">0</span><span style="color: #000000;">; X </span><span style="color: #000000;"><</span><span style="color: #000000;"> ARR_LEN; X </span><span style="color: #000000;">++</span><span style="color: #000000;">) {<br /> printf(</span><span style="color: #800000;">"</span><span style="color: #800000;">%2d </span><span style="color: #800000;">"</span><span style="color: #000000;">, </span><span style="color: #000000;">*</span><span style="color: #000000;">(ARR</span><span style="color: #000000;">+</span><span style="color: #000000;">X</span><span style="color: #000000;">*</span><span style="color: #000000;">ARR_LEN</span><span style="color: #000000;">+</span><span style="color: #000000;">Y));<br /> }<br /> printf(</span><span style="color: #800000;">"</span><span style="color: #800000;">\n</span><span style="color: #800000;">"</span><span style="color: #000000;">);<br /> }<br /> system(</span><span style="color: #800000;">"</span><span style="color: #800000;">pause</span><span style="color: #800000;">"</span><span style="color: #000000;">);<br /> </span><span style="color: #0000FF;">return</span><span style="color: #000000;"> </span><span style="color: #800080;">0</span><span style="color: #000000;">;<br />}<br /></span></div></div></div><p></p><div style="background-color: #F5F5F5;border: 1px solid #CCCCCC;padding-left:5px;padding-right:5px;" onclick="cnblogs_code_show('6355ba2d-235d-4546-b2e5-938c16d20a0f')"> </div></div>
<p style="line-height: 13.15pt; margin: 3.15pt 0cm"><font size="3" face="Verdana"><span style="font-size: 12px; " ><br /></span></font></p>
<p style="line-height: 13.15pt; margin: 3.15pt 0cm"><font size="3" face="SimSun"><span style="font-size: 12px" >
</span></font></p><font size="3" face="SimSun"><p style="margin: 3.15pt 0cm">时间过得很快，转瞬过了一年。这是当初的解法，速度大概接近黄晨的一倍快，从档案堆中找出这个解法之际，我才发觉竟还有一个更精妙的解法，速度应该还可再提升一倍。</p>
<p style="margin: 3.15pt 0cm">如果你正面临着某些算法必须极端讲求速度时，可以在这里留言，描述请尽量详细，甚至留下自己的解法。我一得空闲，便会尝试解题。</p>
<p style="margin: 3.15pt 0cm">关于这一题的解题思维如下：</p>
<p></p>
<p><table border="1" cellspacing="0" cellpadding="0" style="border-collapse:collapse;border:none;mso-border-alt:solid windowtext .5pt;
mso-yfti-tbllook:480;mso-padding-alt:0cm 5.4pt 0cm 5.4pt;mso-border-insideh:
.5pt solid windowtext;mso-border-insidev:.5pt solid windowtext">
<tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes">
<td width="71" valign="top" style="width:53.15pt;border:solid windowtext 1.0pt;
mso-border-alt:solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">X</span></p>
</td>
<td width="71" valign="top" style="width:53.1pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">Y</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"">位置</span></p>
</td>
<td width="67" valign="top" style="width:50.6pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"">數值</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"">反</span><span lang="EN-US">X</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"">反</span><span lang="EN-US">Y</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"">反位置</span></p>
</td>
<td width="70" valign="top" style="width:52.25pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt:
solid windowtext .5pt;background:#E0E0E0;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"">反數值</span></p>
</td>
</tr>
<tr style="mso-yfti-irow:1">
<td width="71" valign="top" style="width:53.15pt;border:solid windowtext 1.0pt;
border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="71" valign="top" style="width:53.1pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="67" valign="top" style="width:50.6pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">8</span></p>
</td>
<td width="70" valign="top" style="width:52.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">9</span></p>
</td>
</tr>
<tr style="mso-yfti-irow:2">
<td width="71" valign="top" style="width:53.15pt;border:solid windowtext 1.0pt;
border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="71" valign="top" style="width:53.1pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="67" valign="top" style="width:50.6pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">7</span></p>
</td>
<td width="70" valign="top" style="width:52.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">8</span></p>
</td>
</tr>
<tr style="mso-yfti-irow:3">
<td width="71" valign="top" style="width:53.15pt;border:solid windowtext 1.0pt;
border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="71" valign="top" style="width:53.1pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">3</span></p>
</td>
<td width="67" valign="top" style="width:50.6pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">3</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">5</span></p>
</td>
<td width="70" valign="top" style="width:52.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">7</span></p>
</td>
</tr>
<tr style="mso-yfti-irow:4">
<td width="71" valign="top" style="width:53.15pt;border:solid windowtext 1.0pt;
border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="71" valign="top" style="width:53.1pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">6</span></p>
</td>
<td width="67" valign="top" style="width:50.6pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">4</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">0</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">2</span></p>
</td>
<td width="70" valign="top" style="width:52.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">6</span></p>
</td>
</tr>
<tr style="mso-yfti-irow:5;mso-yfti-lastrow:yes">
<td width="71" valign="top" style="width:53.15pt;border:solid windowtext 1.0pt;
border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="71" valign="top" style="width:53.1pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">4</span></p>
</td>
<td width="67" valign="top" style="width:50.6pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">5</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">1</span></p>
</td>
<td width="72" valign="top" style="width:54.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">4</span></p>
</td>
<td width="70" valign="top" style="width:52.25pt;border-top:none;border-left:
none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt;
mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt">
<p align="center" style="text-align:center"><span lang="EN-US">5</span></p>
</td>
</tr>
</tbody></table>
<p ><span lang="EN-US"><o:p> </o:p></span></p>
<p ><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"">完成後陣列示意圖：</span></p>
<table border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;mso-padding-alt:0cm 0cm 0cm 0cm">
<tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes">
<td width="55" valign="top" style="width:41.4pt;border:solid windowtext 1.0pt;
background:red;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">1</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="60" valign="top" style="width:45.0pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">3</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="60" valign="top" style="width:45.0pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">4</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
</tr>
<tr style="mso-yfti-irow:1">
<td width="55" valign="top" style="width:41.4pt;border:solid windowtext 1.0pt;
border-top:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">2</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="60" valign="top" style="width:45.0pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">5</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="60" valign="top" style="width:45.0pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">8</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
</tr>
<tr style="mso-yfti-irow:2;mso-yfti-lastrow:yes">
<td width="55" valign="top" style="width:41.4pt;border:solid windowtext 1.0pt;
border-top:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">6</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="60" valign="top" style="width:45.0pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">7</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="60" valign="top" style="width:45.0pt;border-top:none;border-left:none;
border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
background:red;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">9</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
</tr>
</tbody></table>
<p ><span lang="EN-US"><o:p> </o:p></span></p>
<table border="0" cellspacing="0" cellpadding="0" style="background:red;border-collapse:collapse;mso-padding-alt:0cm 0cm 0cm 0cm">
<tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes">
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">1</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">2</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">3</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">4</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:white;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">5</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">6</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">7</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">8</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.5pt;border:solid windowtext 1.0pt;
border-left:none;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">9</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:
0pt;mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
</tr>
</tbody></table>
<p ><span lang="EN-US"><o:p> </o:p></span></p>
<p ><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"">二維陣列之一維表示示意圖：</span></p>
<table border="0" cellspacing="0" cellpadding="0" style="background:red;border-collapse:collapse;mso-padding-alt:0cm 0cm 0cm 0cm">
<tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes">
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">1</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">2</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">3</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">4</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:white;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">5</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">6</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">7</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.45pt;border:solid windowtext 1.0pt;
border-left:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">8</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="62" valign="top" style="width:46.5pt;border:solid windowtext 1.0pt;
border-left:none;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">9</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
</tr>
</tbody></table>
<p ><span lang="EN-US"><o:p> </o:p></span></p>
<p ><span style="font-family:新細明體;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"">完成陣列之二維陣列對照圖：</span></p>
<table border="0" cellspacing="0" cellpadding="0" style="margin-left:-4.9pt;background:red;border-collapse:collapse;mso-padding-alt:
0cm 0cm 0cm 0cm">
<tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes">
<td width="3" valign="top" style="width:2.0pt;border:solid windowtext 1.0pt;
padding:0cm 0cm 0cm 0cm">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span style="font-family:微軟正黑體;mso-bidi-font-family:
新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">完成<span lang="EN-US"><o:p></o:p></span></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;mso-border-left-alt:solid windowtext 1.0pt;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">1</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">3</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">4</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,0</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">2</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:white;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">5</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:#FFCC00;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">8</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,1</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:#FF99CC;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">6</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">0,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;background:fuchsia;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">7</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">1,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
<td width="69" valign="top" style="width:51.5pt;border:solid windowtext 1.0pt;
border-left:none;padding:0cm 5.4pt 0cm 5.4pt">
<p style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;
mso-pagination:widow-orphan"><span lang="EN-US" style="font-family:微軟正黑體;
mso-bidi-font-family:新細明體;mso-font-kerning:0pt;mso-bidi-language:BN">9</span><span style="font-family:微軟正黑體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN">（<span lang="EN-US">2,2</span>）</span><span lang="EN-US" style="font-family:新細明體;mso-bidi-font-family:新細明體;mso-font-kerning:0pt;
mso-bidi-language:BN"><o:p></o:p></span></p>
</td>
</tr>
<tr style="mso-yfti-irow:1">
<td width="3" valign="top" style="width:2.0pt;border:solid windowtext 1.0pt;
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<p style="margin: 3.15pt 0cm">由于「相称」性规则，每一组的位置是固定的，加总也都是10，如此只需完成一次计算，再加上一个减号运算就能配置出一组。如此效率自然提升接近一倍。</p>
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<p></p><img src="http://www.cnblogs.com/ethanyen/aggbug/1824399.html?type=1" width="1" height="1" alt=""/><p><a href="http://www.cnblogs.com/ethanyen/archive/2010/09/12/1824399.html" target="_blank">本文链接</a></p>http://www.cnblogs.com/ethanyen/archive/2009/07/28/1533276.html不得已而用之...微軟錯字問題很抱歉，由於這一年多來，本人身披數十創，全身上下縫了十幾針，眼睛也受傷了，所以沒能持續寫作。那些懸而未決的諸如繁簡轉換的終極方案，我尚未提出，演算法的解法也尚未公佈（然後電腦就一切重來了。）！由於身體還在康復中，暫時還不想寫太多東西。只是昨天突然興起，就看了一下微軟當初應承要解決的問題，究竟到底解決了沒。一看之下，真是震驚非常。原來，錯的沒有改正，對得反而給你改錯！全部剩下第九字級是正確的。於是，...2009-07-28T11:00:00Z2009-07-28T11:00:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/10/08/1306692.html蘋果日報關於微軟的報導首先，感謝蘋果日報秉持正義原則，報導了微軟XP兩套字形出錯的報導。也感謝網友小黃的熱心奔走。反之，自由時報選擇不報，也很感謝，讓我們知道想要正義，我們得找蘋果，才不會被拒於門外。2008.10.08 由於忙碌時期還沒結束，草草說這幾句。十一月後再見。而這件事，也尚未了結。根據微軟發給一位向行政院消保會申訴的朋友的回函，他們用我告知諸位的事實當成回覆的答案。微軟說，Vista已經改進。我們申訴XP...2008-10-08T15:12:00Z2008-10-08T15:12:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/08/27/1277132.html暫停罵人公告 暨 我小時候犯的一個錯接下來的一個月裡，為了忙一個大案子，就暫停博客的寫作、留言回應等事項。換句話說，想鬧的要把握時機，哈哈哈！ 同時我仔細衡量後，也決定日後凡是跟程式設計較無關係的文章都會移到新的博客去，新的窟穴可能是 WordPress.Com。這裡將主要發表中文資訊處理、人工智慧、演算法及IT相關文章。 沒意外的話，這是這一系列名人之錯的最後一篇。很多人應該額首稱慶了吧，哈哈。 說到錯，我就來講講一個自己小...2008-08-26T16:27:00Z2008-08-26T16:27:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/08/24/1275142.html中華隊不能進入前四強的唯一理由 暨 中華隊的錯都是南韓隊造成的奧運棒球項目在中華隊只拿到第五名的成績後，曾經出現一些說法：有人說，因為五顆松棒球場有太多漂亮妹妹，以致於讓中華隊的球員過於分心，才會只拿到第五名：也有人說，因為六連敗的那些早晨，球員們起床後都忘了喝蠻牛，所以才會慘遭連敗的命運；還有一些高明的人說，這是因為中華隊無根的原因。他們的說法倒也合情合理，可是依我看來，其實…… 南韓隊！跟他們有什麼關係？在解釋之前，我們不免要看...2008-08-24T07:16:00Z2008-08-24T07:16:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/08/21/1272649.html微軟，你把一個人想簡單了這一篇純粹是針對文化界的人說的。 現在很多人都想成名。一夕成名最好，最快。那些藝人、脫星、運動明星就不用說了，即便是一般人，在日本有人用殺人成名，在台灣有人用抗議成名，也有人耍白癡成名！而世界的環保團體，為了宣揚自己的理念，他們用裸體的方式，吸引大家的目光。這些都是一樣的東西，但是…… 天底下最該發現「秣」這1個錯誤的應該是編輯，接著是中文文字專家，最後才是工程師及一般...2008-08-20T16:01:00Z2008-08-20T16:01:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/08/20/1272644.html《科學人》事件冷飯重炒我不想冷飯重炒。不過有些人就跟微軟一樣，買者付了錢買到了爛貨，結果賣者居然不理不睬，把責任推來推去，跟這裡發生的情況如出一轍。到底怎麼了，台灣！什麼意思？ 這是我在不久前，在《科學人》雜誌網站上留的一篇文章，點名李國偉的文章出了嚴重的錯誤，而當期的另一個重大翻譯錯誤是，當期雜誌把「每年至少五億人受到感染」誤翻為「每年至少奪走五億人性命」。感染被翻譯成了死亡！這相差何止千里。我當時的說法是： 我...2008-08-20T15:37:00Z2008-08-20T15:37:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/08/17/1269892.html1122個錯 暨 三家工程師水準大評比三十分鐘，就算給我三百分鐘，我都不能拯救世界！！！哈哈哈……所以得了吧，那位讀者恐怕是把筆者當成了超人或蝙蝠俠了，可惜我的內褲還是穿在下面的，哈哈哈嘿嘿，真是好笑。不過說真的，我三十分鐘可能什麼都做不了，不過拿來寫這種沒什麼技術性的文章，倒是綽綽有餘。所以不服的話，就把馬甲脫下來，像個男人，大家明刀明槍的來比技術、比知識，就別在那邊搞小花招了。是哪個出版社、還是哪家軟體公司...2008-08-17T11:41:00Z2008-08-17T11:41:00ZEthanYethttp://www.cnblogs.com/ethanyen/http://www.cnblogs.com/ethanyen/archive/2008/08/14/1268196.html我是如何發現那1個以及110個錯誤的由於昨日有讀者在看了「110個錯誤」後發問：「这跟工程师有什么关系，显然这是研究中文的人应该去做的事情。」因此趁著今天中日棒球賽開打前，把這篇文章作個交代。 為什麼前篇文章筆者會說這是工程師的錯呢？我們先從一個簡單的判斷開始。當我們說某某人是個文字學家時（研究中文的人，尤其是研究中文字的人），我們會將「中文編碼知識」當成一個判斷他是否是文字學家的標準或條件嗎？又當我們說某某人是個合格的工程師時，...2008-08-14T13:07:00Z2008-08-14T13:07:00ZEthanYethttp://www.cnblogs.com/ethanyen/